The approximate annual cost of raising a child born in 2013 at age 17 is 15230.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
a) Plot (2, 12,940), (5, 12,970), (8, 12,800), (11, 13,600) 1nd (14, 14420) on graph.
b) (8, 12800) and (14, 14420)
Here, slope m=(14420-12800)/(14-8)
= 1,620/6
= 270
Substitute m=270 and (x, y)=(8, 12800) in y=mx+c, we get
12800=270(8)+c
12800=2160+c
c=10640
Substitute m=270 and c=10640 in y=mx+c, we get
y=270x+10640
c) Now, substitute x=17 in y=270x+10640, we get
y=270×17+10640
y=15230
Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is 15230.
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What are the three types of loops that can be built using the while statement and other statements?
The three types of loops that can be built using the while statement and other statements are The While Loop,The For Loop,The Do-While Loop.
What is loop?Loop in math is a path or line that starts and ends at the same point. It can refer to a continuous curve, like a circle, or to a sequence of discrete points, like a polygonal line. It is a fundamental concept in mathematics, used to study various topics such as curves, surfaces, and solids. Loops are also used in graph theory to study networks.
1. The While Loop: This allows you to execute a set of instructions until a certain condition is met.
2. The For Loop: This is a pre-defined loop that is used to iterate through a list of elements and execute a set of instructions for each element.
3. The Do-While Loop: This is similar to the While Loop, but the set of instructions are executed at least once before the condition is checked. This allows for a set of instructions to always be executed at least once.
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What is the slope of linear equation 2x 10?
The slope of the given linear equation y = 2x + 10 is 2.
If we draw the graph of the linear equation y = mx + c. The result is a line with m as the slope, and c as the y-intercept. This form of the linear equation y = mx + c is called the slope-intercept form, and the values of m and c are real numbers.
The slope, m, of the line represents the steepness of a line. This is also termed a gradient, sometimes. The y-intercept, c, of the line y = mx + c represents the y-coordinate of the point where the graph of the line intersects the y-axis.
Now, if we equate the standard slope-intercept form of the equation with the given equation, we get
y = mx + c
y = 2x + 10
m = 2 and c = 10
As we know the m is the slope which is equal to 2.
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Exercise #2: Pounds and kilograms are two different units for measuring the weight of an object. The weight in pounds is proportional to the weight in kilograms. The graph below shows this proportional relationship. (a) What does the point (1, 2.2) on this graph tell us? (b) If a person weighed 121 pounds, what would his weight be in kilograms? Let k be the weight in kilograms. Solve a proportion to find k. Number of Pounds 6 5 3 2 1 Number of Kilograms
PLEASE HELP ME I HAVE BEEN STUCK FOR A LONG TIME ON THIS QUESTION!!
2.26 pounds equal one kilo of mass and hence, 121 pounds divided by 2.26 equals 53.09 kilograms.
what is kilogram ?Kg, the metric system's fundamental unit of mass The mass of 1,000 cubic centimeters of water is quite close to one kilogram; originally, it was supposed to be exactly equal. According to definitions, a pound is exactly equivalent to 0.45359237 kg. The kilogram (abbreviated "kg") is the SI Base Unit for calculating mass. One gram (g) is produced when you divide one kilogram by 1000, and one metric ton is produced when you multiply one kilogram by 1000. Consequently, 1000 grams equals 1 kilogram, and 1000 kilograms equal 1 ton.
given
kilogram (kg) weighs 2.2 times more than a pound (represented as lbs).
As a result, 2.26 pounds equal one kilo of mass.
hence, 121 pounds divided by 2.26 equals 53.09 kilograms.
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Find the length of the third side. If necessary, write in simplest radical form.
5
6
Answer:
[tex]c=\sqrt{61}[/tex]
Step-by-step explanation:
Assuming it's a right triangle, you would have to use the Pythagorean Theorem which states:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Assuming we're looking for the hypotenuse:
[tex]5^{2} +6^{2} =c^{2}[/tex]
[tex]25+36=c^{2}[/tex]
[tex]61=c^{2}[/tex]
[tex]\sqrt{61} =c[/tex]
What is the relationship between heart rate and oxygen consumption during exercise?
During exercise, there was a substantial link between heart rate, coronary flow, and cardiac oxygen consumption. As heart rate increases, so does oxygen consumption, which seems to reach a maximum at very fast heart rates.
Your pulse and heart rate both serve as indicators of how your heart is working. Your heart rate is the number of times it beats in a minute. Your arteries widen as a result of the number of times your heart beats every minute.
In healthy people, heart rate, workload, and oxygen consumption are all linearly connected up to a certain point. The heart's reaction to physical exercise or stress is considered to be controlled by the sympathetic nervous system.
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Which of the following equations has no real solutions? Select one: A. X? +3x=7 B. 5x-4 = 3x C. X? +1 = 3x D. 2x2 +5x=3
B) 5x-4 = 3[tex]x^2[/tex] has no real solution
To check real solution of a quadratic equation we have to check for discriminant value of each equation a[tex]x^2[/tex] + bx +c is given by :
D =b^2 - 4ac.
if D<0 then equation have no solution.
now we need to check for each option the D value
Option A:
Therefore, the discriminant of the equation x^2 - 3x - 7 is (-3)^2 - 4(1)(-7) = 9 + 28 = 37.
Option B:
The discriminant of the quadratic equation 3x^2 - 5x + 4 is the value of b^2 - 4ac, which is (5)^2 - 4(3)(4) = 25 - 48 = -23. A negative discriminant (-23) would indicate that the equation has no real solutions, meaning it has no solutions in real numbers.
so option B which is 5x-4 = 3[tex]x^2[/tex] have no real solution.
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Complete question:
Which of the following equations has no real solutions?
A. [tex]x^2[/tex] +3x=7
B. 5x-4 = 3[tex]x^2[/tex]
C. [tex]x^2[/tex] +1 = 3x
D. 2[tex]x^2[/tex] +5x=3
Reflect the shape in the line x = -1
Answer:
it will the the same shape you esrased but two more squares to the left
points (-3,1)(-5,1)(-4.5,3)(-6,5)
PLEASE HELP PLEASE IT WAS DUE YESTERDAY.
i think its 4 x =2x +1
An unbounded problem is one for which ________. remains feasible
A. the objective is maximized or minimized by more than one combination of decision variables
B. there is no solution that simultaneously satisfies all the constraints
C. the objective can be increased or decreased to infinity or negative infinity while the solution
D. there is exactly one solution that will result in the maximum or minimum objective
C. the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.
An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that there may be more than one combination of decision variables that will maximize or minimize the objective, and there may not be exactly one solution that will result in the maximum or minimum objective value.
An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that the problem has no finite upper or lower limit and is not subject to any specific constraints. As a result, there may be more than one combination of decision variables that will maximize or minimize the objective. In addition, there may not be exactly one solution that will result in the maximum or minimum objective value, as the solution set can be infinite. Thus, it is important to keep in mind that an unbounded problem has no specific solution and that different combinations of decision variables can result in the same objective value.
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What is a simple table?
Therefore , the solution of the given problem of table comes out to be the simplest table is of 1,2,3,4,5,6,7,8,9 and 10.
About a table.A statistic list is a group of figures that displays the results of a calculation with several inputs. Data is organized in rows and columns and is composed of descriptions and numbers. It is simple to remember the table and the pattern of 10. The numerals are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50, in that order. Value mapping is a technique for displaying the relationships between various data elements. The values table can be useful in any science class.
Here,
The simple table is easy to remember and
the most simple table is of 1
=>1,2,3,4,5,6,7,8,9 and 10
Therefore , the solution of the given problem of table comes out to be the simplest table is of 1,2,3,4,5,6,7,8,9 and 10.
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What type of function is y 10?
The y10 is a linear function, which is a type of function that follows a straight line when graphed.
Linear functions are often written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
The equation y 10 is a linear function with a slope of 0, meaning that the line does not move up or down and a y-intercept of 10, meaning that the line passes through the point (0, 10).
The function y 10 is a mathematical expression that can be used to solve certain equations. It is a linear equation, which means that it follows the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
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How do you write end behavior?
The end behavior of a function is the way the graph of the function behaves as either x→∞ or x→−∞.
To calculate the end behavior of a function, we take the highest degree of the function and look at the leading coefficient. If the leading coefficient is positive, then the graph will go to positive infinity as x→∞ and will go to negative infinity as x→−∞. If the leading coefficient is negative, then the graph will go to negative infinity as x→∞ and will go to positive infinity as x→−∞. For example, if the function is f(x) = 2x^3 + 6x, then the highest power is 3 and the leading coefficient is 2, which is positive. Therefore, the graph of the function will go to positive infinity as x→∞ and will go to negative infinity as x→−∞.
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If polygons are similar then what do you know about the corresponding sides and the corresponding angles?​
If two polygons are similar, it means that their corresponding angles are congruent (have the same measure) and their corresponding side lengths are in proportion to each other.
Similar polygons are two polygons that have the same shape but differ in size. Similar polygons have congruent congruent angles and proportional proportionate sides.
When two polygons are similar, their respective angles are congruent (have the same measure) and their corresponding side lengths are proportional to one another.
Additionally, the ratio of the length of any corresponding side of the two polygons is equal to the ratio of the length of any other corresponding side.
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A hypothesis test involves a comparison of which two elements?
a. Research results from a sample and a hypothesis about a population
b. Research results from a population and a hypothesis about a sample
c. Research results from a population and a hypothesis about the population
d. Research results from a sample and a hypothesis about the sample
Answer:
I believe its A, correct me if i'm wrong.
Step-by-step explanation:
A hypothesis test involves a comparison between research results from a sample and a hypothesis about a population.
Thus, option (A) is correct.
In hypothesis testing, a researcher starts with a null hypothesis, which represents the assumption of no difference or no effect in the population.
The researcher collects data from a sample and performs statistical analysis to determine whether the evidence supports or rejects the null hypothesis in favor of an alternative hypothesis.
The research results obtained from the sample are compared to the hypothesis about the population to determine whether there is enough evidence to reject the null hypothesis and accept the alternative hypothesis.
Thus, option (A) is correct
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Can yall help me with this math question fast
The first step to solve the equation 3x/5 + 5 = 20,
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
is known as Subtraction property of equality, So option B is correct.
What is an Subtraction property of equality?It is a property of mathematics, in which we subtract the same number on both the sides of any equation.
for example, ax+b = c ⇒ ax+b-5 = c-5
Given math equation,
3x/5 + 5 = 20
here we apply, Subtraction property of equality
So, we are subtracting -5 both the sides
3x/5 + 5 - 5 = 20 - 5
Hence, Used property is subtraction property of equality
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A hockey puck strikes a wall at an angle of 30°. The puck then travels away from the wall at the same angle. Find the value of $y$ . A drawing shows a hockey puck about to strike a wall at an angle of 30 degrees and travels away from the wall by making the same angle. The angle between these angles is y degrees.
Answer: y= 120
Step-by-step explanation: y= 180 -2x30
=180-60
=120
Which ordered pair is the solution to the linear functions graphed?
The ordered pair that is the solution to the linear functions graphed is (b) (5, 25)
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
The lines on the graph
Next, we interpret the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (5, 25)
Hence, the solution is (5, 25)
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What is the value of 625?
The value of 625 is the numerical representation of the quantity.
It is a composite number, meaning it can be divided evenly by more than just 1 and itself (5 x 5 x 5 = 625). It is also a perfect cube, as it can be represented as 5 cubed (5³).
In mathematical operations, it can be used as a constant or as a variable in equations and formulas. It can also be represented in scientific notation as 6.25 x 10².
In terms of real-world applications, it may be used in measurements, such as area or volume, or as a quantity in various calculations or formulas.
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Find m∠ABC and m∠CBD if m∠ABD =120°
The measures of angles m∠ABC = 36° and m∠CBD = 84°.
What is geometryGeometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.
The angle m∠ABD = 120° is the result for the sum of the two angles m∠ABC and m∠CBD so;
m∠ABC + m∠CBD = m∠ABD
2x + 5x - 6 = 120°
7x - 6 = 120° {add 6 to both sides}
7x = 120° + 6°
7x = 126° {divide through by 7}
x = 126°/7
x = 18
2x = 2(18) = 36°
5x - 6 = 5(18) - 6 = 84°
Therefore, the geometry question have the measure of angles m∠ABC = 36° and m∠CBD = 84°.
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Possible Question:
Find m∠ABC and m∠CBD if m∠ABD =120°, m∠ABC = 2x, m∠CBD = (5x - 6)°, and the angle m∠ABD is the sum of m∠ABC and m∠CBD.
The function g is defined by g(x)=6+x/7+4x. Find g(n+4)
The function g(n+4) = 10 + n/23 + 4n.
What are Functions?A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.
Types of FunctionsOne – one function (Injective function)Many – one functionOnto – function (Surjective Function)Into – functionPolynomial functionLinear FunctionIdentical FunctionQuadratic FunctionRational FunctionAlgebraic FunctionsCubic FunctionModulus FunctionSignum FunctionGreatest Integer FunctionFractional Part FunctionEven and Odd FunctionPeriodic FunctionComposite FunctionConstant FunctionIdentity Functiong(x)=6+x/7+4x
g(n+4) = 6+n+4/7+4(n+4)
g(n+4) = 10 + n/7 + 4n + 16
g(n+4) = 10 + n/23 + 4n
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What is the value of 2 ½?
The value of 2 ½ is 2.5. As 2 ½ is the same as mixed fraction 2 ½ = 5/2.
2 ½ is a mixed number, it is a whole number combined with a fraction. In this case, 2 is the whole number and ½ is the fraction. The value of 2 ½ is calculated by adding the value of the whole number to the value of the fraction.
The value of the whole number 2 is 2, and the value of the fraction ½ is 0.5. To find the value of 2 ½, we add 2 to 0.5:
2 + 0.5 = 2.5
So, the value of 2 ½ is 2.5.
It's important to note that mixed numbers are used to represent numbers that are between two whole numbers, they consist of a whole number and a proper fraction. This mixed number representation is commonly used in everyday life, and it's easy to understand.
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Triangle DOG is an isosceles triangle. DO = OG mO = 126° What is mG? A. 27° B. 39° C. 54° D. 64°
Answer:
A. 27
Step-by-step explanation:
mG=(180-126)/2=27
Find the 73rd term of the following arithmetic sequence. 7, 12, 17, 22,
Answer:
[tex]a_{73}=367[/tex]
Step-by-step explanation:
[tex]a_n=a_1+(n-1)d\\a_{73}=7+(73-1)(5)\\a_{73}=7+(72)(5)\\a_{73}=7+360\\a_{73}=367[/tex]
Need Help Please and thank!
Answer:
B) y = -2/3x -2
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise/run
Let's pick 2 points (-3,0) (0, -2); we see the y decrease by 2 and the x increase by 3, so the slope is
m = -2/3 = -2/3
The Y-intercept is located at (0, -2)
So, our answer is B) y = -2/3x -2
Classify each variable according to the set of numbers that best describes itsvalues.
1.the area of the circleAfound by using the formulaπr2
2.the number n of equal slices in a pizza; the portion p of the pizza in one slice
3. the air temperaturetin Saint Paul, MN, measured to the nearest degreeFahrenheit
4. the last four digitssof a Social Security number
The variable "area of the circle" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. 0 to infinity), and the difference between any two values within that range can be any positive value.
The variable "number of equal slices in a pizza" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 1, 2, 3, etc.). Similarly, the variable "portion of the pizza in one slice" would also be classified as a discrete variable, as it can only take on certain values (e.g. 1/2, 1/3, 1/4, etc.).
The variable "air temperature in Saint Paul, MN" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. -40 to 120 degrees Fahrenheit), and the difference between any two values within that range can be any positive value.
The variable "last four digits of a Social Security number" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 0001 to 9999).
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Please answer correctly I do not understand this
Answer:
I think it is 7 as well
Step-by-step explanation:
They look equal and they both have the same degree of angle. I hope this helps!
What is the cos L?
HELP!
The correct option c. 5/7. The value of cos L is found to be 5 /7.
Explain the term trigonometric ratios?Trigonometric ratios are based on the value of a ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. These trigonometric ratios of a given acute angle are the ratios of the sides of either a right-angled triangle in respect to that angle. Trigonometric ratios are the ratios of the sides in a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).For the stated right angles triangle:
Cos L = base / hypotenuses
Cos L = 10 / 14
Cos L = 5/7
Thus, the value of cos L is found to be 5/7.
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Which situation can be represented by the inequality x<56
Step-by-step explanation:
e.g. there fit only max. 55 (< 56) people into a room (like a large conference room or a small movie theater).
or for a mathematical function like
1/(x - 56)
x < 56 can be the domain definition.
or it can be the climate (temperature in Fahrenheit) setting for a certain area at a zoo.
or, or, or ...
Is the triangle with sides 25 cm 5 cm and 24 cm a right angle triangle?
The triangle formed by sides 24, 25 and 5 cm is not a right angled triangle.
What is Pythagoras Theorem ?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.
A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Let us consider the triangle is a right angle triangle
so,
24 and 5 will be the base and heights
[tex]\sqrt{24\x^{2} + 5\x^{2} } = 24.51\\[/tex]
so 25 is not equal 24.51 cm
so the triangle formed by sides 24, 25 and 5 cm is not a right angled triangle.
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Help with this I really need help asap you get points if answered
Our point A(x,y) rotates 270 degrees anticlockwise around the origin to become A' (y,-x). This implies that we reverse x and y and turn x negative.
A 270-degree clockwise rotation is what?A figure can be rotated 90 degrees anticlockwise by rotating it 270 degrees clockwise. It would now be (x, y) = (-y, x)
What does translating a triangle mean?A translation in geometry is a type of transformation that shifts a geometric figure in a specific direction without altering its size or orientation. The figures are congruent before and after the transformation because it is a type of rigid transformation.
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